Inequalities for the Berezin number of operators and related questions

For a bounded linear operator, acting in the reproducing kernel Hilbert space H = H Ω over some set Ω , its Berezin symbol (or Berezin transform) A ~ is defined by A ~ λ : = A k ^ λ , k ^ λ , λ ∈ Ω , which is a bounded complex-valued function on Ω ; here k ^ λ : = k ^ λ k λ H is the normalized repro...

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Veröffentlicht in:	Complex analysis and operator theory 2021-03, Vol.15 (2), Article 30
Hauptverfasser:	Garayev, M. T., Alomari, M. W.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Hilbert space Inequalities Kernels Linear operators Mathematical analysis Mathematics Mathematics and Statistics Operator Theory Operators (mathematics) Reproducing kernel spaces and applications Symbols
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